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Finding the Fourth Proportional to 288,602.55, 432,903.81 and 78,235.02

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Solution

The fourth proportional to 288,602.55, 432,903.81 and 78,235.02 is: 117,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,602.55 : 432,903.81 = 78,235.02 : x
  2. Step 2: Convert to fraction form
    288,602.55/432,903.81 = 78,235.02/x
  3. Step 3: Cross multiply
    288,602.55x = 432,903.81 × 78,235.02
  4. Step 4: Simplify right side
    288,602.55x = 33,868,238,233.43
  5. Step 5: Solve for x
    x = 33,868,238,233.43/288,602.55
  6. Step 6: Final answer
    x = 117,352.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.